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Finding the Fourth Proportional to 22,666.30, 34,035.90 and 16,469.80

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Solution

The fourth proportional to 22,666.30, 34,035.90 and 16,469.80 is: 24,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,666.30 : 34,035.90 = 16,469.80 : x
  2. Step 2: Convert to fraction form
    22,666.30/34,035.90 = 16,469.80/x
  3. Step 3: Cross multiply
    22,666.30x = 34,035.90 × 16,469.80
  4. Step 4: Simplify right side
    22,666.30x = 560,564,465.82
  5. Step 5: Solve for x
    x = 560,564,465.82/22,666.30
  6. Step 6: Final answer
    x = 24,731.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.